Question

question 36 of 40
at a high school, 9th and 10th graders were asked whether they would prefer robotics or art as an elective. the results are shown in the relative frequency table.
to the nearest percent, what percentage of 10th graders surveyed preferred robotics?
a. 33%
b. 61%
c. 54%
d. 51%

Explanation:

Step1: Identify the relevant values

We need to find the percentage of 10th - graders who preferred robotics. From the table, the relative frequency of 10th - graders who preferred robotics is \(0.33\), and the total relative frequency for 10th - graders is \(0.54\). The formula for the percentage is \(\frac{\text{Frequency of 10th - graders for robotics}}{\text{Total frequency of 10th - graders}}\times100\%\).

Step2: Calculate the percentage

Substitute the values into the formula: \(\frac{0.33}{0.54}\times100\%=\frac{33}{54}\times100\%\).
\(\frac{33}{54}\approx0.6111\), and \(0.6111\times 100\% = 61.11\%\). Rounding to the nearest percent gives \(61\%\).

Answer:

B. 61%